Over which interval does f have an average rate of change zero?
A. -3≤x≤5
B. -5≤x≤3
C. 2≤x≤4
D. -3≤x≤-1

Over Which Interval Does F Have An Average Rate Of Change Zero?A. -3x5B. -5x3C. 2x4D. -3x-1

Answers

Answer 1

Answer:

Step-by-step explanation:

The average rate of change is the slope. Slope has a formula that is the change in y over the change in x, which is a fraction. The only time a fraction can have a vlue of 0 is where the numerator of the fraction is equal to 0 (since we are not allowed to have a denominator of 0). If the change in y is in the top of the slope fraction, then we have to find the interval where the y values are the same. I'll show you one where the y values are not the same so you can compare it to the slope where the y values are the same. We will find the slope of choice A.

When x = -3, y = 0 so the coordinate is (-3, 0).

When x = 5, y = 5 so the coordinate is (5,4). Now let's find the slope (aka average rate of change) between those 2 coordinates:

[tex]m=\frac{4-0}{5-(-3)}=\frac{4}{8}=\frac{1}{2}[/tex]  and the top of the fraction is a 1, not a 0, so the average rate of change between these 2 points is 1/2, not 0. Now let's do D.

When x = -3, y = 0 so the coordinate is (-3, 0).

When x = -1, y = 0 so the coordinate is (-1, 0). The slope between these 2 points is

[tex]m=\frac{0-0}{-1-(-3)}=\frac{0}{2}=0[/tex] This fraction is equal to 0 because the numerator is 0. Choice D is the one you want.


Related Questions

please help to add this exponent:)

Question:
[tex](3.09 \times {10}^{6} ) + (5.83 \times {10}^{8} )[/tex]

Answers

Answer:

[tex]5.8609 \times {10}^{8} [/tex]

Step-by-step explanation:

[tex](3.09 \times 10^6)+(5.83 \times 10^8)[/tex]

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

[tex]5.8609 \times {10}^{8} [/tex]

Hope it is helpful...

Which system is equivalent to

Answers

Answer:

We can find the system equivalent to this one by replacing one of the equations with a multiply of itself, so:

Let’s multiply y = x-2 by 2

2y=2x-4

A system equivalent to this one is

y = -2x^2 (this remains the same)

2y= 2x-4

is the relationship shown by the data linear? if so, model the data with an equation.​

Answers

Answer:

The relationship is not linear.

Hope this answer is right!!

find the value of x, y, v and w​

Answers

Now,

x + 35° = 180° ( Co - interior angle )

x = 145°

Then,

y = x = 145° ( Vertically Opposite angle )

Again,

v + 43° = 180° ( Co - interior angle )

v = 137°

Then,

v + w = 180° (Co - interior angle )

137° + w = 180°

w = 180° - 137°

w = 43°

I hope it's help you...

Mark me as brainliest...

Question 4 of 10 Based only on the information given in the diagram, it is guaranteed that A ABC - AXYZ. 3 Y Z O A. True B. False​

Answers

Answer: True

Step-by-step explanation:

We know in every triangle all the angles add up to 180 so for triangle ABC if you add the 52 to the 90 you’ll find the answer to be 142 if you subtract this then from 180 you’ll find 38 to be your answer

Therefore if you add the 38 the 52 and the 90 you’ll get 180

Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ. Option A is correct.

What are the conditions of the congruent triangle?

Triangles that are equivalent in terms of size and form are known as congruent triangles.

It is certain that XYZ gave simply the facts in the diagram, traingle ABC, and XYZ is similar. It is true that triangles XYZ and ABC are similar.

The angle of triangles ABC and XYZ is;

∠A= 180° -(90+52) = 38°

∠B= 90°

∠C=38°

∠X=38°

∠Y=90°

∠Z=180° -(90+38°) = 52°

∠B =∠Y=90°

Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ.

Hence, option A is correct.

To learn more about the congruent triangle refer;

https://brainly.com/question/12413243

#SPJ2

This is my question,i hope anyone can help me

Answers

Step-by-step explanation:

a) fg(x) = f(x²-1) = 2(x²-1) + 3

= 2x² + 1

b) gf(x) = (2x+3)² - 1

= 4x² + 12x + 9 - 1

= 4x² + 12x + 8

c) fg(2) replace the value in a)

fg(2) = 2(2²) + 1

= 9

A new bank customer with ​$3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.8​%. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?

Answers

Answer: See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

Six teammates are competing for first, second, and third place in a race.

How many possibilities are there for the top three positions?

20
30
120
240

Answers

Step-by-step explanation:

there Are 120 possibilities for the top three positions

We will see that there are 120 different possibilities for the top 3 positions.

How many possibilities are there for the top three positions?

Here we need to count the number of options for each of the positions.

For the first position, there are 6 options (6 team members).For the second position, there are 5 options (because one is already in the first position).For the third position, there are 4 options.

The total number of different combinations is given by the product between the numbers of options, we will get:

C = 6*5*4 = 120

There are 120 different possibilities for the 3 positions.

If you want to learn more about combinations, you can read:

https://brainly.com/question/11732255

#SPJ2

which system of equations has infinitely many solutions?

a. 4x+2y=5 -4x-2y=1
b. -10x+y=4 10x-y=4
c. -8x+y=2 8x-y=0
d. -x+2y=6 7x-2y=12

Answers

Answer:

None, each of the four given system of equations have only one solution

Step-by-step explanation:

A system of equations have infinitely many solutions, when the equations represent the same line and therefore, the two equations are the same;

Each of the options are examined as follows;

a. 4·x + 2·y = 5...(1)

-4·x - 2·y = 1...(2)

Expressing both equations with y as the subject, we have;

The value of y in equation (1) is given as follows;

4·x + 2·y = 5

2·y = 5 - 4·x

∴ y = 5/2 - 2·x

The value of y in equation (2) is given as follows;

-4·x - 2·y = 1

-2·y = 1 + 4·x

∴ y = -1/2 - 2·x

Therefore, equation (1) and equation (2) represent the same equation and are therefore equal and have only one solution

b. -10·x + y = 4...(1)

10·x - y = 4...(2)

Therefore, we have;

Adding equation (1) to equation (2) gives;

-10·x + 10·x + y - y = 4 + 4

0 + 0 = 8

0 = 8

Given that 0 ≠ 8, equation (1) is not equal to equation (2) and the two equations have only one solution

c. -8·x + y = 2...(1)

8·x - y = 0...(2)

By examination, the values on the left hand side, LHS, of both equations are the same magnitude but opposite in sign, while the right hand side, RHS, of both equations, have different magnitude

Therefore, the two equations are different and have only one solution

d. -x + 2·y = 6...(1)

7·x - 2·y = 12...(2)

Making y the subject of both equations gives;

Equation (1)

2·y = 6 + x

y = 3 + x/2

Equation (2)

2·y = 12 - 7·x

y = 6 - 3.5·x

Therefore, the two equations are different and have only one solution

Answer:

B

Step-by-step explanation:

I'm guessing the answer is B. I know why the other person said all of them only have one solution. But, On b You wrote -10x+y=4  10x-y=4

When really it was supposed to be -10x+y=4  10x-y=-4

I will give BRAINLIEST to the correct answer
Find the measure of angle 6.

Answers

Answer:

m∠6 = 116°

Step-by-step explanation:

first find x:

7x - 17 = 2x + 78

subtract 2x from both sides: 5x - 17 = 78

add 17 to both sides: 5x = 95

divide by 5: x = 19

plug x into 7x - 17

7(19) - 17 = 116

∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°

can you help me with this. Find the surface area ​

Answers

Answer:

2370 cm²

Step-by-step explanation:

2(32·15+15·15+15·32) = 2370

María compra mercancía por valor $2.000.000 la cual tiene una utilidad estimada del 25%, ella desea saber el valor que ganara al vender toda su mercancía ¿Cuál sera el valor que corresponde a las ganancias de maría?

Answers

Answer:

Maria buys merchandise worth $ 2,000,000 which has an estimated profit of 25%, she wants to know the value that she will earn by selling all her merchandise. What will be the value that corresponds to Maria's earnings?

Step-by-step explanation:

2,500,000 $ worth of merchandise

For the graph of the inequality x - 2y >4, what is a value of x for a point that is on the
boundary line and the axes?
0-2
04
-4
O2

Answers

Answer:

Step-by-step explanation:

Explanation:

First, find two points on the line if you change the inequality to an equation.

For  

x

=

0

:  

0

+

2

y

=

4

2

y

=

4

2

y

2

=

4

2

y

=

2

or  

(

0

,

2

)

For  

y

=

0

:  

x

+

0

=

4

x

=

4

or  

(

4

,

0

)

We can plot these two points and draw a line through them to get the border of the inequality:

graph{(x^2+(y-2)^2-0.075)((x-4)^2+y^2-0.075)(x+2y-4)=0}

The line will be solid because the inequality operator has a "or equal to" clause in it. We can now shade the area to the right of the line because the inequality has a "great than" clause in it.

graph{(x+2y-4)>=0}

John has 12 tissues, but they caught on fire, because his older brothers a pyromaniac.
So John has to eat his boogers. He has to do it precisely, without accidentally scratching his nose and bleeding, so he has to go slow.
How long does it take for him to eat his boogers? Sometimes, he has a friend join him, and they eat their own boogers in each others presence. How long would that take?

A. 12 minutes.
B. 20 Minutes for each person.
C. An Hour.
D All day.

Answers

Answer:

Dude wt,f? The answer is B. Obviously.

Step-by-step explanation:

COMMON SENSE

Last year, 260 students went to the senior prom at M&T Bank Stadium. This year, the number of students who attended senior prom increased by 9%. How many students attend the senior prom at M&T Bank Stadium this year? Round you answer to the nearest whole number. ​

Answers

Answer:

283 people went this year to the stadium.

Step-by-step explanation:

Let's put this data into pieces so it's less overwhelming.

Last year 260 students went to the prom.

Currently the number of students who attended has increased by 9% from last year.

And the question is asking how many students attended this year?

Well, if this is increasing by 9%, wouldn't we just find 9% of 260 then add it to 260?

0.09 * 260 = 23.4

260 + 23.4 = 283.40. Obviously we can't have 40% of a human being, so let's round it to 283.

The work in an office takes 150 hours to complete every week. Each person in the office works for 32 hours a week

Answers

what’s the question? you’re just stating that the work takes 150 hours to complete every week and that each person works 32 hours a week.

Find the surface area of a cylinder with a height of 10 inches and base diameter of 6 inches.
______ square inches​

Answers

244.92 is the surface area

Answer:

The surface area of cylinder is 244.92 inches²

hope it helps

have a nice day

Name the marked angle in 2 different ways.

Answers

Answer:

angle TVU

Step-by-step explanation:

angle UVT

please mark as brainliest

Express 120 as the product of its prime factors.
Write the prime factors in ascending order.

Answers

Answer:

2 x 2 x 2 x 3 x 5

Step-by-step explanation:

The first and smallest prime number that can be divisible by 120 is 2; 120/2 = 60, 60/2 = 30, 30/2 = 15; and the smallest prime number divisible by 15 is 3; 15/3 = 5; and the smallest prime number divisible by 5 is 5; 5/5 = 1.

hence, we have 2 x 2 x 2 x 3 x 5 = 2³ x 3 x 5

Can someone work please so I can understand how

Answers

Answer:

[tex]\text{A. }\frac{4\sqrt{14}}{{7}}[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Therefore, we can form a right triangle with non-right angle [tex]\theta[/tex] and its opposite side [tex]\sqrt{7}[/tex] and its adjacent side [tex]5[/tex].

By definition, [tex]\csc \theta=\frac{1}{\sin\theta}[/tex].

In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle. To find the hypotenuse, use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side, of the right triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

Solving, we get:

[tex]5^2+\sqrt{7}^2=c^2,\\25+7=c^2,\\c^2=32,\\c=\sqrt{32}=4\sqrt{2}[/tex]

Therefore, we have:

[tex]\csc \theta = \frac{1}{\sin \theta}=\frac{1}{\frac{\sqrt{7}}{4\sqrt{2}}},\\\\\csc \theta=1\cdot \frac{4\sqrt{2}}{\sqrt{7}},\\\\\csc \theta =\frac{4\sqrt{2}}{\sqrt{7}}\cdot \frac{\sqrt{7}}{\sqrt{7}}=\boxed{\text{A. }\frac{4\sqrt{14}}{{7}}}[/tex]

Answer: Choice A)   [tex]\frac{4\sqrt{14}}{7}[/tex]

======================================================

Explanation:

Refer to the figure below. We start off drawing a right triangle that has opposite side sqrt(7) and adjacent side 5.

This is because tan = opposite/adjacent.

Use the pythagorean theorem to find the hypotenuse is sqrt(32) which simplifies like so

sqrt(32) = sqrt(16*2) = sqrt(16)*sqrt(2) = 4*sqrt(2)

The last thing to do is to take the ratio of the hypotenuse over the opposite side. Recall that csc, aka cosecant, is the reciprocal of sine.

sin = opposite/hypotenuse

csc = hypotenuse/opposite

---------

So we get the following

[tex]\csc{\theta} = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc{\theta} = \frac{4\sqrt{2}}{\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2}*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2*7}}{\sqrt{7*7}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{\sqrt{49}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{7}\\\\[/tex]

So that's why the answer is choice A.

Please help!!! I don’t know how to do this

Answers

Answer:

O C. x = 3

Step-by-step explanation:

If a line is parallel to y-axis, the equation of the line is x = constant because it is at a constant distance from y-axis. so for the given question, x = 3 is the equation of the line passing through (3,2).

Question 3 (Multiple Choice Worth 1 points)
(06.05 LC)
The two-way table shows the number of students in a school who like reading and/or gardening.
Like Reading
Do Not Like Reading
Total
Like Gardening
32
?
58
Do Not Like Gardening
19
23
42
Total
51
49
100
What is the missing number in the table?
16
19
26
0
90

Answers

Answer:

26

Step-by-step explanation:

Horizontally:

Like reading = 32

Do not like reading = ?

Total = 58

Total = Like reading + Do not like reading

Do not like reading = Total - Like reading

= 58 - 32

= 26

Do not like reading = 26

Vertically:

Like gardening =

Do not like gardening = 23

Total = 49

Total = Like gardening + Do not like gardening

Like gardening = Total - Do not like gardening

= 49 - 23

= 26

Like gardening = 26

Therefore,

The missing number in the table is 26

I need help solving both of these 2 I’ve tried asking but nobody knows

Answers

Answer:

Step-by-step explanation:

x/7 - 13 ≥ -11

x/7 ≥ 2

x ≥ 14

m/-6 + 16 ≥ 19

m/-6 ≥ 3

m/6 ≤ -3

m ≤ -18

Answer: -18

Step by step explanation

(PLEASE HELP MEE)
A Jetliner uses 3,600 gallons of fuel per hour while it is cruising, and there are 15,000 gallons of fuel in the jetliner's fuel tank when It begins to crulse. If yrepresents the amount of fuel, In thousands of gallons, remaining in the fuel tank after the Jetliner cruises for x hours, determine the graph of the solution set for this situation and the equation modeled by the graph.
((Graph options in picture))​

Answers

Answer:

"A"

Step-by-step explanation:

C & D start at 12... story starts at 15

3*3600 = 10,800 ....   15,000-10,800 = 4200

at 3 the graph has to be at 4200 (which is above 3)

note at 3 "B" is at 3 so answer has to be "A"

Don’t need to send the math or anything just need the answer will give brainliest!!!

Answers

Answer:

920

Hope that this helps!

A farmhouse shelters 10 animals. Some are pigs and some are chickens. Altogether there are 30 legs. How many of each animal are there? PLSS HELP!!

Answers

Answer:

theres 5 pigs and 5 chickens

Step-by-step explanation:

5 pigs 4 legs 5x4=20

5 chickens and 2 legs 5x2=10

20+10=30

A rectangular garden has length and width as given by the expressions below.
Length: 4 - 7(3x + 4y)
Width: 3x(-2y)
Write a simplified expression for the perimeter of the rectangle.
y
ху

Answers

Answer:

8 - 42x - 56y - 12xy

Step-by-step explanation:

Length = 4 - 7(3x + 4y)

= 4 - 21x - 28y

Width = 3x(-2y)

= -6xy

Perimeter of the rectangle = 2(length + width)

= 2{(4 - 21x - 28y) + ( -6xy)}

= 2(4 - 21x - 28y - 6xy)

= 8 - 42x - 56y - 12xy

Perimeter of the rectangle = 8 - 42x - 56y - 12xy

Help and explain pleaseeeeeeeee

Answers

Given:

The function is:

[tex]f(x)=\{(1,0),(2,3),(3,6)\}[/tex]

The given function is:

[tex]f(x)=1-2x[/tex]

The range of this function is [tex]\{-3,-5,-7\}[/tex].

To find:

The range of first function.

The domain of second function.

Solution:

Domain is the set of input or x-values and range is the set of output or y-values.

We have,

[tex]f(x)=\{(1,0),(2,3),(3,6)\}[/tex]

Here, the x-values are 1, 2, 3 and the y-values are 0, 3, 6.

Therefore, the range of the given function is [tex]\{0, 3, 6\}[/tex]. Hence, the correct option is C.

The given function is:

[tex]f(x)=1-2x[/tex]            ...(i)

The range of this function is [tex]\{-3,-5,-7\}[/tex].

Putting [tex]f(x)=-3[/tex] in (i), we get

[tex]-3=1-2x[/tex]

[tex]-3-1=-2x[/tex]

[tex]\dfrac{-4}{-2}=x[/tex]

[tex]2=x[/tex]

Similarly,

Putting [tex]f(x)=-5[/tex] in (i), we get

[tex]-5=1-2x[/tex]

[tex]3=x[/tex]

Putting [tex]f(x)=-7[/tex] in (i), we get

[tex]-7=1-2x[/tex]

[tex]4=x[/tex]

The domain of this function is [tex]\{2,3,4\}[/tex]. Hence, the correct option is A.

1. Jennifer bought 4 1/2 pounds of hamburger for $22.50.
What was the cost per pound?

Answers

Answer:

.20$

Step-by-step explanation:

4 1/2=4.5

4.5 divided by 22.50=.20

Answer: Jennifer bought 4 1/2 pounds of hamburger for $22.50.

What was the cost per pound?

.20cents

Juice is sold in two different sizes. An 18 gl oz bottle costs $1.10. A 36 gl oz bottle costs 2.75. Which is better to buy?

Answers

Answer:

The 18 ounce bottle costs less per ounce and is the better buy

Step-by-step explanation:

First find the cost per ounce for the 18 ounce bottle

1.10 / 18 =.0611111 per ounce

Then find the cost per ounce for the 38 ounce bottle

2.75 / 36 =.076388888

The 18 ounce bottle costs less per ounce

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